Finite decimal and terminating decimal are the same thing.greenwich wrote:What is the difference between finite decimal and terminating decimal?
The other category is recurring decimal or non-terminating decimal.
The trick is if the denominator of the fraction has only 2 and 5 as the prime factors, the fraction will be a terminating or finite decimal. Otherwise it will be a recurring decimal.
From statement 1, we have no idea about the denominator. So, it is not sufficient to answer the problem. For example, let us assume R = 10. Now, if S = 20, R/S = 10/20 = 0.5, a finite decimal. But if, S = 30, R/S = 10/30 = 0.33333..., a recurring decimal.
So, statement 1 is not sufficient.
From statement 2, we know that S is a factor of 100. So, possible prime factors of S are 2 and 5. Therefore, any fraction with S as denominator will be a finite decimal.
So, statement 2 is sufficient.
Answer : B
